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Finding the Third Proportional to 8,506,392,802 and 12,289,210,562

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Solution

The third proportional to 8,506,392,802 and 12,289,210,562 is: 17,754,258,444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506,392,802 : 12,289,210,562 = 12,289,210,562 : x
  2. Step 2: Convert to fraction form
    8,506,392,802/12,289,210,562 = 12,289,210,562/x
  3. Step 3: Cross multiply
    8,506,392,802x = 12,289,210,562 × 12,289,210,562
  4. Step 4: Simplify right side
    8,506,392,802x = 151,024,696,237,172,359,168
  5. Step 5: Solve for x
    x = 151,024,696,237,172,359,168/8,506,392,802
  6. Step 6: Final answer
    x = 17,754,258,444.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.